About the Best Reasoning Method for Fuzzy Control
Bohdan S. Butkiewicz · 2006
In the paper many possible reasoning methods are compared from point of view of the best control. The author proposes also new methods for fuzzy control, often better than Mamdani and Larsen methods. Fuzzy systems are described by a set of rules using connectives "and", "or", "also". Different aggregation operators, as triangular norms and mean operations, are used for interpretation of these connectives. In the paper are discussed possible interpretations for if-then rules, as different implications and other operations, in combination with defuzzification methods. Comparison of the systems with PID fuzzy controllers is presented using many different reasoning methods, and linear and nonlinear plants. Some best methods are proposed